Question

If QS−→
bisects ∠PQT
. If ∡SQT =
(8x−25)°
and ∡PQT =
(9x+34)°
find the measure of ∠PQT

Answer 1

Since QS−→ bisects ∠PQT, we can set ∡SQT equal to ∡PQT.

Therefore, we have:

8x - 25 = 9x + 34

Subtracting 8x from both sides:

-25 = x + 34

Subtracting 34 from both sides:

-59 = x

Therefore, the measure of ∠PQT is:

9x + 34 = 9(-59) + 34 = -531 + 34 = -497 degrees

However, angles cannot have negative measure, so the measure of ∠PQT is undefined in this case.